The Volume of a Rectangular prism is V=2x³ 3x² - 11x + 6. It has a height of x-3 and a length of x + 2. What is the width of the prism?
Answers
Answer:
The width of the prism is 2x - 1.
Hope this helps!
Step-by-step explanation:
( there is no addition or subtraction sign between \(2x^{3}\) and \(3x^{2}\) )
The volume of a rectangular prism is Length*Width*Higth.
( 2x - 1 )*( x + 2 ) = \(( 2x^{2} +4x-x-2) = (2x^{2} +3x - 2)\)
\((2x^{2} +3x-2)*(x-3 )\) = \((2x^{3} -6x^{2} +3x^{2} -9x-2x+6 ) = (2x^{3} -3x^{2} -11x+6)\)
Which is the equation, so the width of the prism is 2x - 1.
Related Questions
Can someone help me with this I don't get it
Answers
the price of a car was increased by 4% to £22 what was the price before
Answers
13.80
Step-by-step explanation:
22 - 4% is your answer
send help pleeeaasse. if:
\(p = {b}^{x}\)
\(q = {b}^{y} \)
\( {b}^{2} = ( {p}^{y} \times {q}^{x} )^{z} \)
x.y.z equals to...?
Answers
x .y .z = 1 is the value of Algebraic functions.
What is Algebraic functions?
A function that satisfies is said to be algebraic if it has integer coefficients and is a polynomial in the variables and. Algebraic functions include inverses of those that can be created using a small number of elementary operations as well as those that can be created using only those operations.\(P = b^{x}\)
\(q = b^{y}\)
\(b^{2} = (p^{y} * q^{x} )^{z}\)
\(b^{2} = ( (b^{x} )^{y} * ( b^{y})^{x} )^{z}\)
\(b^{2} = ( (b^{xy} * b^{xy} )^{z}\)
\(b^{2} = ( b^{xy + xy} )^{z}\)
\(b^{2} = (( b)^{2xy} )^{z}\)
\(b^{2} = ( b)^{2xyz}\)
now compare the power
2 = 2xyz
x .y .z = 1
Learn more about Algebraic functions
brainly.com/question/12178721
#SPJ9
24
This table shows the distance a car traveled after being driven for different
amounts of time.
Time
(seconds)
10.6
19.3
27.5
40.1
68.2
Distance
(meters)
100
200
400
800
1,600
In which interval did the car have the greatest rate of change in distance traveled?
A
10.6 to 19.3 seconds
B
19.3 to 27.5 seconds
C
27.5 to 40.1 seconds
D
40.1 to 68.2 seconds
Answers
40.1 -68.2 seconds interval did the car have the greatest rate of change in distance traveled.
What is Speed?The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.
Table shows the distance a car traveled after being driven for different
amounts of time.
Time Distance
0-10.6 10.6 100
10.6- 19.3 19.3 200
19.3-27.5 27.5 400
27.5-40.1 40.1 800
40.1 -68.2 68.2 1600
For 0-10.6 , Distance / time =100/10.6=9.433
10.6- 19.3, Distance / time =200/19.3=10.36
19.3-27.5 ,Distance / time =400/27.5=14.54
27.5-40.1 ,Distance / time =800/40.1=19.95
40.1 -68.2,Distance / time =1600/68.2=23.46
Hence 40.1 -68.2 seconds interval did the car have the greatest rate of change in distance traveled.
To learn more on Speed click:
https://brainly.com/question/28224010
#SPJ1
Find the EAR in each of the following cases:
a. 12% compounded quarterly
b. 7% compounded monthly
c. 16% compounded daily
d. 12% with continuous compounding
Answers
The Effective Annual Rate (EAR) for the given nominal annual interest rates with different compounding periods are 12.55% for quarterly, 7.23% for monthly, 17.47% for daily and 12.75% for continuous compounding.
a. The Effective Annual Rate (EAR) for 12% compounded quarterly is 12.55%. To calculate this, we use the formula EAR = (1 + r/n)^n - 1, where r is the nominal annual interest rate and n is the number of times interest is compounded in a year. Plugging in the values, we get EAR = (1 + 0.12/4)^4 - 1 = 0.1255 or 12.55%.
b. The Effective Annual Rate (EAR) for 7% compounded monthly is 7.23%. To calculate this, we use the same formula as before. Plugging in the values, we get EAR = (1 + 0.07/12)^12 - 1 = 0.0723 or 7.23%.
c. The Effective Annual Rate (EAR) for 16% compounded daily is 17.47%. To calculate this, we use the same formula as before. Plugging in the values, we get EAR = (1 + 0.16/365)^365 - 1 = 0.1747 or 17.47%.
d. The Effective Annual Rate (EAR) for 12% with continuous compounding is 12.75%. To calculate this, we use the formula EAR = e^r - 1, where e is the mathematical constant approximately equal to 2.71828 and r is the nominal annual interest rate. Plugging in the values, we get EAR = e^(0.12) - 1 = 0.1275 or 12.75%.
In summary, we can say that the Effective Annual Rate (EAR) for the given nominal annual interest rates with different compounding periods are 12.55% for quarterly, 7.23% for monthly, 17.47% for daily and 12.75% for continuous compounding. The EAR takes into account the effect of compounding on the nominal interest rate, providing a more accurate representation of the true cost of borrowing or the true return on an investment.
Know more about Effective Annual Rate here:
https://brainly.com/question/28347040
#SPJ11
what is n in 6/2 = 21/n
Answers
Answer:
n = 7
Step-by-step explanation:
D( n )
n = 0
n = 0
n = 0
n in (-oo:0) U (0:+oo)
6/2 = 21/n // - 21/n
6/2-(21/n) = 0
6/2-21*n^-1 = 0
-21*n^-1 = -3 // : -21
n^-1 = 1/7
-1 < 0
1/(n^1) = 1/7 // * n^1
1 = 1/7*n^1 // : 1/7
7 = n^1
n = 7
n = 7
You can use proportions so 2 x 21 = 42 and divided by 6 = 7
Can you please help me out with a question
Answers
From the picture we knwo that the minor arc MN is:
\(360-228=132\)Now we have to notice that segment LM is tangent to the circle, this means that the angle 6 have to be half the value of minor arc MN, therefore:
\(m\angle6=66\)t(3^3\ 3^4)^5
help!!
Answers
The final expression will be given as \([\dfrac{1}{243}]\) , where the numerator is 1 and the denominator is 243.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given expression:-
E = \([\dfrac{3^3}{3^4}]^5\)
The ratio will be solved by elimination three times 3 with the denominator having four times three.
E = \([\dfrac{1}{3}]^5\)
We will calculate the three to the power five now which is 243.
E = \(\dfrac{1}{243}\)
Therefore the final expression will be given as \([\dfrac{1}{243}]\) , where the numerator is 1 and the denominator is 243.
To know more about expression follow
https://brainly.com/question/723406
#SPJ1
Find the average value of f over the given rectangle. F(x, y) = 2x2y, R has vertices (−2, 0), (−2, 5), (2, 5), (2, 0)
Answers
The average value of f(x,y) = 2x²y over the given rectangle R is approximately 6.42.
To find the average value of f(x,y) = 2x²y over the given rectangle R with vertices (-2,0), (-2,5), (2,5), and (2,0), we need to integrate f over R and divide by the area of R.
First, we can find the area of R using the formula for the area of a rectangle, which is length times width. The length of R is 4 units and the width is 5 units, so the area of R is 4 × 5 = 20 square units.
Next, we can integrate f(x,y) over R by setting up a double integral of f over R, which is ∫∫R 2x²y dA.
We can evaluate this double integral using iterated integration. First, we integrate with respect to y from 0 to 5: ∫\(0^5\) 2x²y dy = x²(5²) = 25x².
Next, we integrate with respect to x from -2 to 2: ∫-2² 25x² dx = (25/3)(2³ - (-2)³) = 128.33.
Finally, we divide the value of the double integral by the area of R to get the average value of f over R: (1/20)(128.33) = 6.42.
Learn more about average value of a rectangle at
https://brainly.com/question/4834402
#SPJ4
Select the correct answer.
Jonathan has 30 chocolates. He gives some chocolates to his friend David. He then gives Sarah half the number of chocolates that he gave David and gives Lily two-thirds of what he gave David. After giving away the chocolates, Jonathan has 4 chocolates left. If the number of chocolates Jonathan gives David is x, which equation represents the situation? How many solutions does this equation have?
A.
, which has no solution
B.
, which has infinitely many solutions
C.
, which has one solution
D.
, which has one solution
E.
, which has no solution
Reset Next
Answers
Answer:
A
Step-by-step explanation:
For melions birthday she wanted to make fruit punch that had 2 1/2 gallons of orange juice, 4 quarts of cranberry juice, and 3 quarts of apple juice. how much did she make in all?
Answers
Answer:
4.25 gallons of juice
Step-by-step explanation:
4 quarts = 1 gallon
3 quarts = 3/4 gallon
2 1/2 + 1 + 3/4 = 3 2/4 + 3/4 = 3 5/4 = 4 1/4
4 1/4 = 4.25
give brainliest please
hope this helps :)
For all the positive values of x, the value of logx x is always ___ and the value of logx 1 is always___
Answers
The value here is always 1, and the value should be 0, since it is a positive value for x.
About logarithmic base
A function whose logarithm is the base a of x. The exponential form is used here because it shows the inverse of the exponential function.
So we can conclude that positive values of x here should always have values 1 and 0. So the above answer is correct.
Read more about Logarithm
https://brainly.com/question/17622052
Integrate ,
∫ (x^2-x)^4 (2x-1) dx
1. 1/5 (x^2-x)^5+C
2. 1/5 (x-x^2)^5/2+C
3. 5(x^2-1)^5+C
4. 5(x^2-1)^1/5+C
Answers
Among the given answer choices, the closest option to the integrated function is (1) 1/5 (x^2 - x)^5 + C.
To integrate the function ∫(x^2 - x)^4(2x - 1)dx, we can expand the binomial term and then apply the power rule for integration. Let's simplify the expression first:
(x^2 - x)^4 = (x^2 - x)(x^2 - x)(x^2 - x)(x^2 - x)
= (x^4 - 2x^3 + x^2)(x^2 - x)(x^2 - x)
= (x^6 - 3x^5 + 3x^4 - x^3)(x^2 - x)
= x^8 - 4x^7 + 6x^6 - 4x^5 + x^4
Now, we can integrate the function:
∫(x^2 - x)^4(2x - 1)dx = ∫((x^8 - 4x^7 + 6x^6 - 4x^5 + x^4)(2x - 1))dx
= ∫(2x^9 - 8x^8 + 12x^7 - 8x^6 + 2x^5 - 2x^2 + x^4)dx
Applying the power rule for integration, we add 1 to the power and divide by the new power:
∫(2x^9 - 8x^8 + 12x^7 - 8x^6 + 2x^5 - 2x^2 + x^4)dx
= (2/10)x^10 - (8/9)x^9 + (12/8)x^8 - (8/7)x^7 + (2/6)x^6 - (2/3)x^3 + (1/5)x^5 + C
Simplifying the expression further:
(1/5)x^10 - (8/9)x^9 + (3/2)x^8 - (8/7)x^7 + (1/3)x^6 - (2/3)x^3 + (1/5)x^5 + C
Among the given answer choices, the closest option to the integrated function is (1) 1/5 (x^2 - x)^5 + C.
Integration is the calculation of an integral. Integrals in maths are used to find many useful quantities such as areas, volumes, displacement, etc. When we speak about integrals, it is related to usually definite integrals. The indefinite integrals are used for antiderivatives. Integration is one of the two major calculus topics in Mathematics, apart from differentiation(which measure the rate of change of any function with respect to its variables). It’s a vast topic which is discussed at higher level classes like in Class 11 and 12. Integration by parts and by the substitution is explained broadly.
In Math's, integration is a method of adding or summing up the parts to find the whole. It is a reverse process of differentiation, where we reduce the functions into parts. This method is used to find the summation under a vast scale. Calculation of small addition problems is an easy task which we can do manually or by using calculators as well. But for big addition problems, where the limits could reach to even infinity, integration methods are used. Integration and differentiation both are important parts of calculus. The concept level of these topics is very high.
To know more about Integration, visit:
https://brainly.com/question/30215870
#SPJ11
A useful graphical method of constructing the sample space for an experiment is:
a. a tree diagram
b. a pie chart
c. a histogram
d. an ogive
Answers
A useful graphical method of constructing the sample space for an experiment is a tree diagram that is option A.
A tree diagram is a useful graphical method of constructing the sample space for an experiment. It is a type of diagram used to represent the possible outcomes of an event. The diagram is structured in a way that each branch of the tree represents an event that can occur, and each level of the tree represents a stage in the experiment. By using a tree diagram, it is easier to visualize and understand all the possible outcomes of an experiment and the probabilities associated with each outcome. Therefore, option A is the correct answer.
To know more about graphical method,
https://brainly.com/question/29756293
#SPJ11
PR
Kylie and Rhoda are solving the equation
4(x-8)= 7(x-4).
• Kylie uses a first step that results in
4x-32= 7x- 28.
• Rhoda uses a first step that results in
4x8=7x-4.
Which statement about the first steps Kylie and Rhoda
use is true?
Rhoda uses the distributive property, resulting in a correct
first step
Rhoda uses the associative property, resulting in a correct
first step.
Kylie uses the distributive property, resulting in a correct first
step.
Kylie uses the associative property, resulting in a correct first
step.
Answers
The equation's solution yields -4/3 for x. Rhoda is the wrong, for this reason.
A formula is what?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions.
Equation given: 4(x-8)=7 (x-4).
Here is how to answer the given equation:
4x-32=7x-28
7x-4x=-32+28
3x=-4
x=-4/3
Kylie starts off with a first step that yields the result 4x-32=7x-28. Using a first step that yields 4x-8=7x-4, Rhoda uses.
The equation's solution yields -4/3 for x. Rhoda is the wrong, for this reason.
To learn more about equation refer to:
brainly.com/question/14686792.
#SPJ1
Analyze the diagram below and complete the instructions that follow.
8
45°
45°
X
Find the value of x.
Answers
How to Convert 162 cm to Inches?
Answers
162 centimeters is equal to 63.7795 inches when converted. To convert from centimeters to inches, multiply the centimeter measurement by 0.393701.
To convert 162 cm to inches, begin by multiplying 162 cm by 0.393701. This is equal to 0.393701 x 162 = 63.7795. This is the exact number of inches in 162 cm. To make the conversion easier, remember that 1 cm is equal to 0.393701 inches. To convert centimeters to inches, simply multiply the centimeter measurement by 0.393701. For example, if you had 26 cm, you would multiply 26 by 0.393701 to get 10.236 inches. To convert inches to centimeters, simply multiply the inch measurement by 2.54. For example, if you had 10.236 inches, you would multiply 10.236 x 2.54 to get 26 cm. Therefore, 162 cm is equal to 63.7795 inches.
Learn more about centimeters here
https://brainly.com/question/29021648
#SPJ4
SUV was detected exceeding the posted speed limit of 60 km/hr, how many kilometers would she have traveled if she was driving 80 km/hr for half an hour
Answers
SUV was detected exceeding the posted speed limit of 60 km/hr, 40 kilometers would she have traveled if she was driving 80 km/hr for half an hour.
Given that an SUV was detected exceeding the posted speed limit of 60 km/hr. We need to calculate how many kilometers would she have traveled if she was driving 80 km/hr for half an hour.
Using the formula,
s = v.t
Where s = Distance
v = Velocity
t = time
In this scenario, the velocity of the SUV is given as 80 km/hrt = 0.5 hrs
The distance she will travel at 80 km/hr in 0.5 hrs will be; s = 80 x 0.5s = 40 km
Therefore, the SUV would have traveled 40 kilometers if she was driving 80 km/hr for half an hour.
To learn more about speed: https://brainly.com/question/13943409
#SPJ11
There are 30 giraffe and 6 penguin at the zoo. Which tatement correctly compare the two quantitie?
Answers
To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.
To compare the two quantities, you need to divide the number of giraffes by the number of penguins.
30 giraffes / 6 penguins = 5
This means that there are 5 times as many giraffes as penguins at the zoo.
There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.
Learn more about number here
https://brainly.com/question/10547079
#SPJ4
what is the solution of the equation 3-8x=8/5x written as a fraction?
Answers
Answer:
x=5/16
Step-by-step explanation:
3-8x=8x/5
(3-8x)5=8x
15-40x=8x
15=8x+40x
15=48x
x=15/48
x=5/16 ans.
Myra is planning to purchase a recliner that costs 1,490 .the installment plan offered at the furniture store requires a 12% down payment and 20 monthly payments of $71 each .
Answers
Answer:
what is the question?
Step-by-step explanation:
Answer:
okay
Step-by-step explanation:
but whats the question tho u gave us the info so whats the question
Help Me Find Y
Show Work
Answers
Answer:
y = 12
Step-by-step explanation:
if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant , that is
y² = 8(8 + 6 + 4) = 8 × 18 = 144 ( take square root of both sides )
y = \(\sqrt{144}\) = 12
Reed compró 1.8 libras de frijoles. Los frijoles cuestan
$1.27 por libra. ¿Cuál fue el precio total de los frijoles que compro Reed?
Answers
Answer:
1.27? :v
Step-by-step explanation:
porque la libra cuesta 1.27 y el solo compro 1.8? la verdad no tiene sentido esta pregunta o quizas abra que hacer una ecuacion...en fin suerte.
What is the discriminant of the quadratic equation 2x 5x² 1?
Answers
The Discriminant of the quadratic equation "2x + 5x² = 1" is 24 .
The Discriminant(D) of the Quadratic Equation ax² + bx + c can be calculated using the formula ; D = b² - 4ac .
the quadratic equation is given as 2x + 5x² = 1 ;
after rearranging the terms ,
the equation can be written as :
⇒ 5x² \(+\) 2x - 1 = 0 ;
Substituting the values in the discriminant formula ,
we get ;
D = (2)² - 4×5×(-1)
Simplifying further ,
we get ;
D = 4 + 20
D = 24 .
Therefore , the value of the Discriminant is 24 .
The given question is incomplete , the complete question is
What is the discriminant of the quadratic equation 2x + 5x² = 1 ?
Learn more about Discriminant here
https://brainly.com/question/7565929
#SPJ4
7x+3y-2x-y
Any body pls
Answers
Answer:
5x+2y
Step-by-step explanation:
7x+3y-2x-y
combine the x terms (7x-2x)
5x+3y-y
combine y terms (3y-y)
5x+2y
Answer:
5x+2y
Step-by-step explanation:
7x+3y-2x-y
collect like terms
7x-2x+3y-y
then solve normally
5x+2y
Simplify the attached question
Answers
Answer:
12x²
Step-by-step explanation:
Check the attachment for steps.
∂²p/∂r² + 1/r ∂p/∂r = ϕμC/k ∂p/∂t
derivation of equations
1-partial derivative diffusivity equation spherical flow
2- partial derivative diffusivity equation hemi- spherical flow
Answers
The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.
1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.
1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.
In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.
These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.
To learn more about partial derivative, click here: brainly.com/question/2293382
#SPJ11
can you help me this is due in 2 days ty xxx
Answers
According to the image the figures that show nets of cubes are: A and D.
How to identify the nets of the cubes?To identify the nets of the cubes we must take into account that each square represents one side of the cube. In this case, the minimum requirement is that it have 6 squares, that is, 6 sides.
Once we have identified the number of sides, we must imagine how to fold the nets to form cubes. In some of them the sides overlap so we can infer that the correct nets are: A and D.
Learn more about cube nets in: https://brainly.com/question/15499998
#SPJ1
What is the y-intercept of f(x)= 3^x+2?
Answers
Answer:
2
Step-by-step explanation:
For an equation structured y = mx + b, m is the slope and b is the y-intercept. Therefore, 2 is the y-intercept.
7. Which is the graph of y = 23 x?
please help me with this, thank you:)
Answers
Answer:
D
Step-by-step explanation:
Graph D has a positive slope. The line goes up 2 units and right 3 units.